/*------------------------------------------------------------------------------
* geoid.c : geoid models
*
*          Copyright (C) 2007-2009 by T.TAKASU, All rights reserved.
*
* reference :
*     [1] EGM96 The NASA GSFC and NIMA Joint Geopotential Model
*     [2] Earth Gravitational Model 2008 (EGM2008)
*
* version : $Revision: 1.1 $ $Date: 2008/07/17 21:48:06 $
* history : 2007/01/07 1.0  new
*           2009/09/04 1.1  replace geoid data by global model
*           2009/12/05 1.2  added api:
*                               opengeoid(),closegeoid()
*-----------------------------------------------------------------------------*/
#include "rtklib.h"

static const char rcsid[]="$Id: geoid.c,v 1.1 2008/07/17 21:48:06 ttaka Exp $";

static const double range[4];       /* embedded geoid area range {W,E,S,N} (deg) */
static const float geoid[361][181]; /* embedded geoid heights (m) (lon x lat) */
static FILE *fp_geoid=NULL;         /* geoid file pointer */
static int model_geoid=GEOID_EMBEDDED; /* geoid model */

/* bilinear interpolation ----------------------------------------------------*/
static double interpb(const double *y, double a, double b)
{
    return y[0]*(1.0-a)*(1.0-b)+y[1]*a*(1.0-b)+y[2]*(1.0-a)*b+y[3]*a*b;
}
/* embedded geoid model ------------------------------------------------------*/
static double geoidh_emb(const double *pos)
{
    const double dlon=1.0,dlat=1.0;
    double a,b,y[4];
    int i1,i2,j1,j2;
    
    if (pos[1]<range[0]||range[1]<pos[1]||pos[0]<range[2]||range[3]<pos[0]) {
        trace(2,"out of geoid model range: lat=%.3f lon=%.3f\n",pos[0],pos[1]);
        return 0.0;
    }
    a=(pos[1]-range[0])/dlon;
    b=(pos[0]-range[2])/dlat;
    i1=(int)a; a-=i1; i2=i1<360?i1+1:i1;
    j1=(int)b; b-=j1; j2=j1<180?j1+1:j1;
    y[0]=geoid[i1][j1];
    y[1]=geoid[i2][j1];
    y[2]=geoid[i1][j2];
    y[3]=geoid[i2][j2];
    return interpb(y,a,b);
}
/* get 2 byte signed integer from file ---------------------------------------*/
static short fget2b(FILE *fp, long off)
{
    unsigned char v[2];
    if (fseek(fp,off,SEEK_SET)==EOF||fread(v,2,1,fp)<1) {
        trace(2,"geoid data file range error: off=%ld\n",off);
    }
    return ((short)v[0]<<8)+v[1]; /* big-endian */
}
/* egm96 15x15" model --------------------------------------------------------*/
static double geoidh_egm96(const double *pos)
{
    const double lon0=0.0,lat0=90.0,dlon=15.0/60.0,dlat=-15.0/60.0;
    const int nlon=1440,nlat=721;
    double a,b,y[4];
    long i1,i2,j1,j2;
    
    if (!fp_geoid) return 0.0;
    
    a=(pos[1]-lon0)/dlon;
    b=(pos[0]-lat0)/dlat;
    i1=(long)a; a-=i1; i2=i1<nlon-1?i1+1:0;
    j1=(long)b; b-=j1; j2=j1<nlat-1?j1+1:j1;
    y[0]=fget2b(fp_geoid,2L*(i1+j1*nlon))*0.01;
    y[1]=fget2b(fp_geoid,2L*(i2+j1*nlon))*0.01;
    y[2]=fget2b(fp_geoid,2L*(i1+j2*nlon))*0.01;
    y[3]=fget2b(fp_geoid,2L*(i2+j2*nlon))*0.01;
    return interpb(y,a,b);
}
/* get 4byte float from file -------------------------------------------------*/
static float fget4f(FILE *fp, long off)
{
    float v=0.0;
    if (fseek(fp,off,SEEK_SET)==EOF||fread(&v,4,1,fp)<1) {
        trace(2,"geoid data file range error: off=%ld\n",off);
    }
    return v; /* small-endian */
}
/* egm2008 model -------------------------------------------------------------*/
static double geoidh_egm08(const double *pos, int model)
{
    const double lon0=0.0,lat0=90.0;
    double dlon,dlat;
    double a,b,y[4];
    long i1,i2,j1,j2;
    int nlon,nlat;
    
    if (!fp_geoid) return 0.0;
    
    if (model==GEOID_EGM2008_M25) { /* 2.5 x 2.5" grid */
        dlon= 2.5/60.0;
        dlat=-2.5/60.0;
        nlon=8640;
        nlat=4321;
    }
    else { /* 1 x 1" grid */
        dlon= 1.0/60.0;
        dlat=-1.0/60.0;
        nlon=21600;
        nlat=10801;
    }
    a=(pos[1]-lon0)/dlon;
    b=(pos[0]-lat0)/dlat;
    i1=(long)a; a-=i1; i2=i1<nlon-1?i1+1:0;
    j1=(long)b; b-=j1; j2=j1<nlat-1?j1+1:j1;
    
    /* notes: 4byte-zeros are inserted at first and last field of a record */
    /*        for current geid data files */
    /* http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008/egm08_wgs84.html */
    /* (1) Und_min1x1_egm2008_isw=82_WGS84_TideFree_SE.gz */
    /* (2) Und_min2.5x2.5_egm2008_isw=82_WGS84_TideFree_SE.gz */
#if 0
    /* not zero-inserted */
    y[0]=fget4f(fp_geoid,4L*(i1+j1*(nlon)));
    y[1]=fget4f(fp_geoid,4L*(i2+j1*(nlon)));
    y[2]=fget4f(fp_geoid,4L*(i1+j2*(nlon)));
    y[3]=fget4f(fp_geoid,4L*(i2+j2*(nlon)));
#else
    /* zero-inserted version (2009/12/10) */
    y[0]=fget4f(fp_geoid,4L*(i1+j1*(nlon+2)+1));
    y[1]=fget4f(fp_geoid,4L*(i2+j1*(nlon+2)+1));
    y[2]=fget4f(fp_geoid,4L*(i1+j2*(nlon+2)+1));
    y[3]=fget4f(fp_geoid,4L*(i2+j2*(nlon+2)+1));
#endif
    return interpb(y,a,b);
}
/* get gsi geoid data --------------------------------------------------------*/
static double fgetgsi(FILE *fp, int nlon, int nlat, int i, int j)
{
    const int nf=28,wf=9,nl=nf*wf+2,nr=(nlon-1)/nf+1;
    double v;
    long off=nl+j*nr*nl+i/nf*nl+i%nf*wf;
    char buff[16]="";
    
    if (fseek(fp,off,SEEK_SET)==EOF||fread(buff,wf,1,fp)<1) {
        trace(2,"out of range for gsi geoid: i=%d j=%d\n",i,j);
        return 0.0;
    }
    if (sscanf(buff,"%lf",&v)<1) {
        trace(2,"gsi geoid data format error: i=%d j=%d buff=%s\n",i,j,buff);
        return 0.0;
    }
    return v;
}
/* gsi geoid 2000 1.0x1.5" model ---------------------------------------------*/
static double geoidh_gsi(const double *pos)
{
    const double lon0=120.0,lon1=150.0,lat0=20.0,lat1=50.0;
    const double dlon=1.5/60.0,dlat=1.0/60.0;
    const int nlon=1201,nlat=1801;
    double a,b,y[4];
    int i1,i2,j1,j2;
    
    if (!fp_geoid||pos[1]<lon0||lon1<pos[1]||pos[0]<lat0||lat1<pos[0]) {
        trace(2,"out of range for gsi geoid: lat=%.3f lon=%.3f\n",pos[0],pos[1]);
        return 0.0;
    }
    a=(pos[1]-lon0)/dlon;
    b=(pos[0]-lat0)/dlat;
    i1=(int)a; a-=i1; i2=i1<nlon-1?i1+1:i1;
    j1=(int)b; b-=j1; j2=j1<nlat-1?j1+1:j1;
    y[0]=fgetgsi(fp_geoid,nlon,nlat,i1,j1);
    y[1]=fgetgsi(fp_geoid,nlon,nlat,i2,j1);
    y[2]=fgetgsi(fp_geoid,nlon,nlat,i1,j2);
    y[3]=fgetgsi(fp_geoid,nlon,nlat,i2,j2);
    if (y[0]==999.0||y[1]==999.0||y[2]==999.0||y[3]==999.0) {
        trace(2,"geoidh_gsi: data outage (lat=%.3f lon=%.3f)\n",pos[0],pos[1]);
        return 0.0;
    }
    return interpb(y,a,b);
}
/* open geoid model file -------------------------------------------------------
* open geoid model file
* args   : int    model     I   geoid model type
*                               GEOID_EMBEDDED   : embedded model(1x1deg)
*                               GEOID_EGM96_M150 : EGM96 15x15"
*                               GEOID_EGM2008_M25: EGM2008 2.5x2.5"
*                               GEOID_EGM2008_M10: EGM2008 1.0x1.0"
*                               GEOID_GSI2000_M15: GSI geoid 2000 1.0x1.5"
*          char   *file     I   geoid model file path
* return : status (1:ok,0:error)
* notes  : the following geoid models can be used
*          WW15MGH.DAC   : EGM96 15x15" binary grid height
*          Und_min2.5x2.5_egm2008_isw=82_WGS84_TideFree_SE: EGM2008 2.5x2.5"
*          Und_min1x1_egm2008_isw=82_WGS84_TideFree_SE    : EGM2008 1.0x1.0"
*          gsigeome_ver4 : GSI geoid 2000 1.0x1.5" (japanese area)
*          (byte-order of binary files must be compatible to cpu)
*-----------------------------------------------------------------------------*/
extern int opengeoid(int model, const char *file)
{
    trace(3,"opengeoid: model=%d file=%s\n",model,file);
    
    closegeoid();
    if (model==GEOID_EMBEDDED) {
        return 1;
    }
    if (model!=GEOID_EGM96_M150 &&model!=GEOID_EGM2008_M25&&
        model!=GEOID_EGM2008_M10&&model!=GEOID_GSI2000_M15) {
        trace(2,"invalid geoid model: model=%d file=%s\n",model,file);
        return 0;
    }
    if (!(fp_geoid=fopen(file,"rb"))) {
        trace(2,"geoid model file open error: model=%d file=%s\n",model,file);
        return 0;
    }
    model_geoid=model;
    return 1;
}
/* close geoid model file ------------------------------------------------------
* close geoid model file
* args   : none
* return : none
*-----------------------------------------------------------------------------*/
extern void closegeoid(void)
{
    trace(3,"closegoid:\n");
    
    if (fp_geoid) fclose(fp_geoid);
    fp_geoid=NULL;
    model_geoid=GEOID_EMBEDDED;
}
/* geoid height ----------------------------------------------------------------
* get geoid height from geoid model
* args   : double *pos      I   geodetic position {lat,lon} (rad)
* return : geoid height (m) (0.0:error)
* notes  : to use external geoid model, call function opengeoid() to open
*          geoid model before calling the function. If the external geoid model
*          is not open, the function uses embedded geoid model.
*-----------------------------------------------------------------------------*/
extern double geoidh(const double *pos)
{
    double posd[2],h;
    
    posd[1]=pos[1]*R2D; posd[0]=pos[0]*R2D; if (posd[1]<0.0) posd[1]+=360.0;
    
    if (posd[1]<0.0||360.0-1E-12<posd[1]||posd[0]<-90.0||90.0<posd[0]) {
        trace(2,"out of range for geoid model: lat=%.3f lon=%.3f\n",posd[0],posd[1]);
        return 0.0;
    }
    switch (model_geoid) {
        case GEOID_EMBEDDED   : h=geoidh_emb  (posd); break;
        case GEOID_EGM96_M150 : h=geoidh_egm96(posd); break;
        case GEOID_EGM2008_M25: h=geoidh_egm08(posd,model_geoid); break;
        case GEOID_EGM2008_M10: h=geoidh_egm08(posd,model_geoid); break;
        case GEOID_GSI2000_M15: h=geoidh_gsi  (posd); break;
        default: return 0.0;
    }
    if (fabs(h)>200.0) {
        trace(2,"invalid geoid model: lat=%.3f lon=%.3f h=%.3f\n",posd[0],posd[1],h);
        return 0.0;
    }
    return h;
}
/*------------------------------------------------------------------------------
* embedded geoid model
* notes  : geoid heights are derived from EGM96 (1 x 1 deg grid)
*-----------------------------------------------------------------------------*/
static const double range[]={0.00,360.00,-90.00,90.00};

static const float geoid[361][181]={{
-29.534f,-27.880f,-24.897f,-21.973f,-18.154f,-15.493f,-14.636f,-12.657f,-10.648f, -9.301f,
 -7.084f, -4.850f, -2.015f,  1.642f,  5.903f,  9.258f, 10.905f, 13.100f, 12.465f, 13.448f,
 14.464f, 10.528f, 10.660f, 10.931f, 12.894f, 13.775f, 13.406f, 13.503f, 13.701f, 14.329f,
 15.132f, 17.828f, 20.762f, 22.627f, 24.433f, 27.098f, 27.238f, 27.168f, 26.391f, 26.405f,
 25.022f, 23.761f, 23.319f, 22.775f, 22.479f, 21.243f, 20.774f, 18.793f, 23.573f, 17.031f,
 17.474f, 16.804f, 16.597f, 16.734f, 16.967f, 17.767f, 18.370f, 20.028f, 20.044f, 20.940f,
 21.409f, 21.247f, 20.852f, 20.564f, 20.098f, 19.847f, 18.959f, 18.146f, 17.336f, 16.808f,
 16.339f, 16.371f, 15.504f, 14.713f, 14.061f, 13.421f, 12.683f, 11.942f, 11.145f, 11.092f,
 11.477f, 11.602f, 13.059f, 15.223f, 16.411f, 16.838f, 17.664f, 18.217f, 18.196f, 17.846f,
 17.162f, 16.992f, 16.895f, 16.616f, 17.673f, 20.453f, 25.912f, 26.234f, 25.914f, 24.272f,
 23.262f, 23.412f, 24.155f, 25.095f, 23.751f, 22.245f, 24.140f, 27.104f, 28.980f, 30.837f,
 31.445f, 30.261f, 30.432f, 29.865f, 29.163f, 27.348f, 25.617f, 25.845f, 28.325f, 30.965f,
 35.389f, 39.102f, 41.083f, 45.020f, 48.293f, 49.580f, 47.460f, 46.235f, 49.156f, 49.913f,
 51.091f, 50.314f, 49.985f, 52.108f, 48.706f, 47.140f, 48.169f, 47.587f, 47.370f, 47.048f,
 45.038f, 45.301f, 46.300f, 46.367f, 45.821f, 46.184f, 46.676f, 47.262f, 47.762f, 46.927f,
 48.227f, 49.454f, 50.172f, 49.071f, 49.781f, 50.804f, 50.320f, 48.953f, 48.675f, 48.539f,
 48.836f, 50.053f, 50.553f, 48.925f, 46.724f, 43.723f, 43.370f, 41.560f, 38.495f, 36.215f,
 33.895f, 32.344f, 30.978f, 28.477f, 27.419f, 25.076f, 22.659f, 20.147f, 17.632f, 15.452f,
 13.606f
},{
-29.534f,-27.872f,-24.818f,-21.917f,-18.173f,-15.402f,-14.776f,-12.758f,-10.529f, -9.116f,
 -6.976f, -4.953f, -2.543f,  1.310f,  5.640f,  8.533f, 10.927f, 13.842f, 12.831f, 12.856f,
 14.414f, 10.363f, 11.018f, 11.346f, 13.963f, 15.276f, 14.385f, 13.940f, 14.094f, 14.546f,
 15.512f, 17.859f, 20.624f, 22.106f, 24.013f, 25.824f, 27.236f, 27.060f, 26.242f, 25.680f,
 24.794f, 23.590f, 22.886f, 22.182f, 21.504f, 21.160f, 21.131f, 20.380f, 21.356f, 18.016f,
 17.639f, 17.348f, 16.947f, 17.054f, 17.591f, 18.255f, 19.837f, 19.761f, 20.307f, 21.184f,
 22.997f, 22.284f, 22.086f, 21.615f, 21.142f, 20.632f, 20.144f, 19.147f, 18.136f, 17.373f,
 16.785f, 16.271f, 15.632f, 14.847f, 14.130f, 13.408f, 12.631f, 11.798f, 11.082f, 10.733f,
 10.329f, 10.127f, 12.546f, 12.820f, 15.290f, 15.546f, 16.568f, 18.234f, 18.361f, 17.446f,
 16.997f, 16.742f, 16.948f, 16.553f, 17.426f, 19.542f, 24.700f, 26.558f, 25.574f, 23.570f,
 21.963f, 22.519f, 23.588f, 23.959f, 22.591f, 22.114f, 23.332f, 26.426f, 28.284f, 30.341f,
 31.433f, 31.283f, 31.117f, 31.596f, 30.563f, 28.159f, 25.538f, 25.691f, 27.841f, 28.600f,
 32.533f, 36.899f, 38.970f, 41.651f, 46.206f, 48.666f, 48.107f, 45.242f, 47.015f, 48.806f,
 49.616f, 49.832f, 50.005f, 51.846f, 49.203f, 48.970f, 48.786f, 47.510f, 46.237f, 45.552f,
 45.048f, 44.938f, 45.371f, 45.013f, 44.036f, 44.361f, 45.252f, 46.356f, 47.067f, 46.723f,
 47.361f, 47.685f, 48.633f, 48.060f, 48.638f, 49.669f, 49.180f, 48.457f, 48.343f, 47.985f,
 48.113f, 49.355f, 49.970f, 48.839f, 46.055f, 43.870f, 43.379f, 41.425f, 38.629f, 36.716f,
 34.188f, 32.741f, 31.166f, 28.361f, 27.379f, 25.135f, 22.684f, 20.156f, 17.609f, 15.446f,
 13.606f
},{
-29.534f,-27.865f,-24.741f,-21.844f,-18.189f,-15.386f,-14.844f,-12.759f,-10.339f, -8.906f,
 -6.689f, -4.647f, -2.412f,  1.357f,  5.676f,  9.011f, 12.056f, 14.836f, 13.289f, 12.278f,
 14.264f, 10.369f, 11.217f, 11.990f, 14.534f, 16.613f, 15.894f, 14.464f, 14.419f, 14.737f,
 15.552f, 17.503f, 20.371f, 21.913f, 23.853f, 25.577f, 26.714f, 27.074f, 26.194f, 25.353f,
 24.914f, 23.342f, 22.596f, 21.805f, 21.324f, 21.433f, 21.171f, 21.243f, 21.521f, 18.293f,
 18.301f, 18.016f, 17.562f, 17.604f, 18.234f, 19.057f, 19.765f, 22.960f, 22.922f, 21.914f,
 22.944f, 24.099f, 23.245f, 22.425f, 22.109f, 21.822f, 21.210f, 20.463f, 19.201f, 18.137f,
 16.982f, 16.273f, 15.655f, 14.998f, 14.191f, 13.418f, 12.485f, 11.826f, 11.096f, 10.563f,
 10.033f,  9.905f, 10.429f, 10.989f, 11.786f, 13.499f, 15.282f, 17.237f, 17.811f, 17.591f,
 16.757f, 16.210f, 16.158f, 15.951f, 15.816f, 17.326f, 20.984f, 25.957f, 26.021f, 25.190f,
 23.883f, 21.991f, 22.407f, 22.965f, 23.025f, 22.790f, 24.188f, 25.330f, 26.929f, 30.179f,
 31.546f, 31.718f, 31.502f, 32.046f, 31.603f, 28.279f, 26.031f, 24.934f, 26.527f, 27.728f,
 30.134f, 34.456f, 38.013f, 40.139f, 44.998f, 46.912f, 47.887f, 44.456f, 46.072f, 48.802f,
 47.837f, 48.677f, 51.152f, 50.728f, 50.571f, 50.685f, 50.028f, 47.513f, 45.615f, 44.643f,
 44.892f, 44.441f, 44.538f, 44.131f, 42.692f, 43.024f, 44.565f, 45.533f, 45.788f, 46.040f,
 46.826f, 47.043f, 47.789f, 47.210f, 46.716f, 48.096f, 47.357f, 48.183f, 48.079f, 47.224f,
 47.473f, 48.408f, 49.272f, 48.533f, 45.403f, 44.082f, 42.920f, 41.345f, 38.921f, 36.961f,
 34.468f, 32.717f, 31.112f, 28.276f, 27.259f, 25.151f, 22.681f, 20.170f, 17.589f, 15.439f,
 13.606f
},{
-29.534f,-27.858f,-24.665f,-21.753f,-18.195f,-15.452f,-14.835f,-12.659f,-10.107f, -8.614f,
 -6.205f, -3.991f, -1.675f,  1.769f,  5.916f, 10.055f, 13.417f, 15.862f, 14.224f, 12.716f,
 14.619f, 10.803f, 11.632f, 12.865f, 14.739f, 17.272f, 16.934f, 15.039f, 14.977f, 15.045f,
 15.547f, 17.438f, 19.743f, 22.194f, 24.179f, 25.803f, 27.246f, 26.646f, 26.346f, 25.153f,
 24.467f, 23.726f, 22.471f, 21.860f, 21.231f, 21.588f, 21.070f, 21.128f, 19.511f, 19.079f,
 18.796f, 18.945f, 18.551f, 17.949f, 18.620f, 19.614f, 20.048f, 20.934f, 21.138f, 24.234f,
 25.249f, 24.186f, 24.752f, 24.201f, 23.339f, 22.729f, 22.350f, 21.693f, 20.519f, 19.023f,
 17.573f, 16.519f, 15.752f, 15.071f, 14.152f, 13.391f, 12.539f, 11.840f, 11.210f, 10.474f,
  9.890f,  9.404f,  9.648f,  9.593f, 10.888f, 11.683f, 13.659f, 15.487f, 16.908f, 17.157f,
 16.942f, 16.466f, 15.867f, 15.076f, 14.806f, 16.182f, 18.527f, 24.702f, 25.834f, 24.851f,
 24.082f, 22.824f, 22.397f, 22.366f, 22.361f, 22.268f, 23.071f, 23.606f, 25.512f, 27.653f,
 30.007f, 31.606f, 32.335f, 33.284f, 32.620f, 30.289f, 27.742f, 25.887f, 27.412f, 28.285f,
 29.022f, 32.069f, 35.868f, 39.096f, 42.115f, 44.076f, 46.268f, 44.511f, 45.338f, 47.426f,
 48.638f, 47.538f, 49.946f, 49.958f, 51.977f, 52.593f, 50.290f, 47.902f, 46.000f, 44.714f,
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